Self-graviting Gas Spheres in Equilibrium State
General Physics
2015-04-23 v1
Abstract
In the paper we discuss equilibrium states of stars, using a simplified analytic model. A star is considered as self-graviting body of gas. We use a condition for the equilibrium state of the body in the form of a differential equation, which relates the pressure distribution and mass density in the body. The density distributions of constant, potential, gaussian, and exponential forms are discussed. Exact expressions for the distribution of mass and pressure along the radial direction, and the central pressure were obtained.
Keywords
Cite
@article{arxiv.1504.05819,
title = {Self-graviting Gas Spheres in Equilibrium State},
author = {Andrei Smirnov and Ricardo Max Menezes Oliveira},
journal= {arXiv preprint arXiv:1504.05819},
year = {2015}
}
Comments
15 pages, 11 figures; (in Portuguese) accepted for publication in Revista Brasileira de Ensino de F\'isica